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We calculate puncture initial data, corresponding to single and binary black holes with linear momenta, which solve the constraint equations of D dimensional vacuum gravity. The data are generated by a modification of the pseudo-spectral…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Miguel Zilhão , Marcus Ansorg , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Ulrich Sperhake , Helvi Witek

We propose and explore a "stationary 1+log" slicing condition for the construction of solutions to Einstein's constraint equations. For stationary spacetimes, these initial data will give a stationary foliation when evolved with "moving…

General Relativity and Quantum Cosmology · Physics 2009-10-12 T. W. Baumgarte , Z. B. Etienne , Y. T. Liu , K. Matera , N. Ó Murchadha , S. L. Shapiro , K. Taniguchi

We demonstrate that numerical relativity codes based on the moving punctures formalism are capable of evolving nearly maximally spinning black hole binaries. We compare a new evolution of an equal-mass, aligned-spin binary with…

General Relativity and Quantum Cosmology · Physics 2017-08-10 Yosef Zlochower , James Healy , Carlos O. Lousto , Ian Ruchlin

We construct initial data for several black holes with arbitrary momenta and spins by a new method that is based on a compactification of Brill-Lindquist wormholes. When treated numerically, the method leads to a significant simplification…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. R. Brandt , B. Bruegmann

Superradiant scattering of linear spin $s=0,\pm 1,\pm 2$ fields on Kerr black hole background is investigated in the time domain by integrating numerically the homogeneous Teukolsky master equation. The applied numerical setup has already…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Károly Zoltán Csukás , István Rácz

Parsec-scale separation supermassive black hole binaries in the centre of gas-rich galaxy merger remnants could be surrounded by massive circumbinary discs (CBDs). Black hole mass and spin evolution during the gas-rich binary inspiral are…

High Energy Astrophysical Phenomena · Physics 2024-11-13 Martin A. Bourne , Davide Fiacconi , Debora Sijacki , Joanna M. Piotrowska , Sophie Koudmani

We model numerically the evolution of $10^4M_\odot$ turbulent molecular clouds in near-radial infall onto $10^6M_\odot$, equal-mass super-massive black hole binaries, using a modified version of the SPH code GADGET-3. We investigate the…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Felipe G. Goicovic , Jorge Cuadra , Alberto Sesana

We analytically solve the constraints in General Relativity for two black holes with arbitrary momenta and spin up to third order in these parameters. We compute the location and geometry of the apparent horizon, which depend on the spins,…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Leyla Ogurol , Tore Boybeyi , Bayram Tekin

We study the method for generating the initial data of black hole systems in Gauss-Bonnet (GB) gravity. The initial data are assumed to be momentarily static and conformally flat. Although the equation for the conformal factor is highly…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Hirotaka Yoshino

If astrophysical black hole candidates are the Kerr black holes predicted by General Relativity, the value of their spin parameter must be subject to the theoretical bound $|a_*| \le 1$. In this work, we consider the possibility that these…

General Relativity and Quantum Cosmology · Physics 2013-05-31 Zilong Li , Cosimo Bambi

This work consists of two distinct parts. In the first part we present a new method for solving the initial value problem of general relativity. Given any spatial metric with a surface orthogonal Killing field and two freely specified…

General Relativity and Quantum Cosmology · Physics 2009-10-31 John Baker , Raymond Stanley Puzio

We report on our code, in which the moving puncture method is applied and an adaptive/fixed mesh refinement is implemented, and on its preliminary performance on black hole simulations. Based on the BSSN formulation, up-to-date gauge…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Zhoujian Cao , Hwei-Jang Yo , Jui-Ping Yu

A complete formalism for constructing initial data representing black-hole binaries in quasi-equilibrium is developed. Radiation reaction prohibits, in general, true equilibrium binary configurations. However, when the timescale for orbital…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gregory B. Cook

We have developed a new numerical code to study the evolution of distorted, rotating black holes. We discuss the numerical methods and gauge conditions we developed to evolve such spacetimes. The code has been put through a series of tests,…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Steven R. Brandt , Edward Seidel

In this work we have used for the first time pseudo-spectral methods to perform numerical simulations of spherically symmetric black hole formations on a Friedman-Robertson-Walker universe. With these methods, the differential equations…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Albert Escrivà

In the present paper binary configurations of identical corotating Kerr-Newman black holes separated by a massless strut are derived and studied. After solving the axis conditions and establishing the absence of magnetic charges in the…

General Relativity and Quantum Cosmology · Physics 2020-11-13 I. Cabrera-Munguia , Etevaldo dos Santos Costa Filho , Héctor H. Hernández , David Vázquez-Valdez

The Bowen-York initial value data typically used in numerical relativity to represent spinning black hole are not those of a constant-time slice of the Kerr spacetime. If Bowen-York initial data are used for each black hole in a collision,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

The standard approach to the numerical evolution of black hole data using the ADM formulation with maximal slicing and vanishing shift is extended to non-symmetric black hole data containing black holes with linear momentum and spin by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann

We study the gravitational collapse and formation of the Kerr black hole from the rotating progenitor star. We follow the evolution of black hole spin, coupled with its increasing mass. We study the effect of different level of rotation…

High Energy Astrophysical Phenomena · Physics 2020-12-08 Agnieszka Janiuk , Dominika Król

Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium initial-data method is extended to allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Duncan A. Brown , Lawrence E. Kidder , Lee Lindblom , Geoffrey Lovelace , Mark A. Scheel